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blsea [12.9K]
3 years ago
14

Lisa is asked to draw a quadrilateral with the following specifications. adjacent angles are supplementary opposite angles are s

upplementary the measures of two adjacent sides are both 5 inches Which of the following statements about this quadrilateral is true.
Mathematics
1 answer:
djverab [1.8K]3 years ago
3 0

Answer:

B (i do also slightly lean towards C, but i'm pretty sure it would be B because it gives a specific measurement)

Step-by-step explanation:

If all angles that are either adjacent or opposite are supplementary, all angles must be 90°

If at all times adjacent sides are 5 inches, all sides are equal.

Knowing this, it has to be a square because all angles would be 90° and all sides would be equal.

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Identify the following equation as that of a line, a circle, an ellipse, a parabola, or a hyperbola.
wel

Answer:

Ellipse

Step-by-step explanation:

Given the equation

4x^2 +9y^2 =36

Divide this equation by 36:

\dfrac{4x^2}{36}+\dfrac{9y^2}{36}=\dfrac{36}{36}\\ \\ \\\dfrac{x^2}{9}+\dfrac{y^2}{4}=1

The equation of the form

\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1

represents an ellipse, so given equation is the equation of the ellipse.

5 0
3 years ago
A cube has an length of 9 meters. What is it’s volume, in cubic meters?
ser-zykov [4K]

Given:

  • Edge =9 m

To find out:

Volume of cube =?

Formula used:

volume of cube =(edge)³

Solution:

volume of cube =(9)³=>729m³

4 0
3 years ago
Read 2 more answers
A line passes through the points (-3, 14) and (-1, 16). What is its equation in slope-intercept form?​
timurjin [86]

Answer:

y = 6x + 22

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-3, 14)

Point (-1, 16)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{16-14}{-1+3}
  2. Subtract/Add:               m=\frac{12}{2}
  3. Divide:                           m=6

<u>Step 3: Find y-intercept </u><em><u>b</u></em>

  1. Define:                    y = 6x + b
  2. Substitute:              16 = 6(-1) + b
  3. Multiply:                  16 = -6 + b
  4. Isolate <em>b</em>:                 22 = b
  5. Rewrite:                   b = 22

<u>Step 4: Write linear equation</u>

y = 6x + 22

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Clim%20_%7Bx%5Cto%20%5Cinfty%20%7D%5Cleft%28%5Cfrac%7Btanx-sinx%7D%7Bx%5E2%7D%5Cright%29" id
Simora [160]

The limit does not exist. There are infinitely many infinite discontinuities at x=n\pi, where n\in\Bbb N. The function oscillates wildly between negative and positive infinity.

5 0
2 years ago
Solve the system of equations alphabetically. Verify your answer using the graph. y = 4x -5, y =-3
vazorg [7]
So, since both equate to y, we can solve for x by equating the equations to each other. 
4x - 5 = -3
So: 4x = 2
So: x = 1/2, or 0.5
Now, y = -3, so the solution is (0.5, -3)
You can graph the two equations, and the point where they meet will be (0.5, -3).

8 0
4 years ago
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